This book aims to provide mathematical analyses of nonlinear differential equations, which have proved pivotal to understanding many phenomena in physics, chemistry and biology. Topics of focus are autocatalysis and dynamics of molecular evolution, relaxation oscillations, deterministic chaos, reaction diffusion driven chemical pattern formation, solitons and neuron dynamics. Included is a discussion of processes from the viewpoints of reversibility, reflected by conservative classical mechanics, and irreversibility introduced by the dissipative role of diffusion. Each chapter presents the subject matter from the point of one or a few key equations, whose properties and consequences are amplified by approximate analytic solutions that are developed to support graphical display of exact computer solutions. Sample Chapter(s). Chapter 1: Theme and Contents of this Book (85 KB). Contents: Theme and Contents of this Book; Processes in closed and Open Systems; Dynamics of Molecular Evolution; Relaxation Oscillations; Order and Chaos; Reaction Diffusion Dynamics; Solitons; Neuron Pulse Propagation; Time Reversal, Dissipation and Conservation. Readership: Advanced undergraduates, graduate students and researchers in physics, chemistry, biology or bioinformatics who are interested in mathematical modeling.
The beautiful county of Cheshire is one of the most visited of English counties. Here is a collection of strange tales and local legends from the county.
In the past, while visiting the First World War battlefields, the author often wondered where the various Victoria Cross actions took place. He resolved to find out. In 1988, in the midst of his army career, research for this book commenced and over the years numerous sources have been consulted. Victoria Crosses on the Western Front – Battles of the Hindenburg Line – Canal du Nord is designed for the battlefield visitor as much as the armchair reader. A thorough account of each VC action is set within the wider strategic and tactical context. Detailed sketch maps show the area today, together with the battle-lines and movements of the combatants. It will allow visitors to stand upon the spot, or very close to, where each VC was won. Photographs of the battle sites richly illustrate the accounts. There is also a comprehensive biography for each recipient, covering every aspect of their lives warts and all: parents and siblings, education, civilian employment, military career, wife and children, death and burial/commemoration. A host of other information, much of it published for the first time, reveals some fascinating characters, with numerous links to many famous people and events.
Involuntary associations : "Postcolonial Studies" and "World Englishes"--Grammars of living break their Tense : world Englishes and cultural translation -- English in the conversation of mankind : world Englishes and global citizenship -- Declarations of linguistic independence: the postcolonial dictionary -- Writing after the end of empire : Composition, community, and creativity -- Slow reading : the opacity of world literatures -- Conclusion : English remains, englishes remain
We live in a world of legal pluralism, where a single act or actor is potentially regulated by multiple legal or quasi-legal regimes imposed by state, substate, transnational, supranational and nonstate communities. Navigating these spheres of complex overlapping legal authority is confusing and we cannot expect territorial borders to solve all these problems. At the same time, those hoping to create one universal set of legal rules are also likely to be disappointed by the sheer variety of human communities and interests. Instead, we need an alternative jurisprudence, one that seeks to create or preserve spaces for productive interaction among multiple, overlapping legal systems by developing procedural mechanisms, institutions and practices that aim to manage, without eliminating, the legal pluralism we see around us. Global Legal Pluralism provides a broad synthesis across a variety of legal doctrines and academic disciplines and offers a novel conceptualization of law and globalization.
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